m^2n^2-1/4(m^2+n^2)^2 因式分解

问题描述:

m^2n^2-1/4(m^2+n^2)^2 因式分解
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先把括号打开(不要害怕那个四次方)
原式=-1/4(m^4+2m^n^2 +n^4-4m^2n^2)
=-1/4(m^4-2m^2n^2+n^4)
=-1/4(m^2-n^2)^2